Advanced MathMediumAdding fractional coefficients
Advanced Math practice question
Which expression is equivalent to (1/2)x + (1/3)x?
- A. (5/6)xCorrect
- B. (2/5)x
- C. (1/6)x
- D. (1/5)x
Answer: A. (5/6)x
Add the coefficients over a common denominator: 1/2 + 1/3 = 3/6 + 2/6 = 5/6. So (5/6)x.
Why the other answers are wrong
- B. (2/5)x
- 2/5 adds numerators and denominators separately (1 + 1 over 2 + 3), which is never how fractions add.
- C. (1/6)x
- 1/6 is the PRODUCT of 1/2 and 1/3, not their sum.
- D. (1/5)x
- 1/5 is 1 over (2 + 3); the denominators don't add.
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